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On some periodic Hartree-type models for crystals
Catto, Isabelle ; Le Bris, Claude ; Lions, Pierre-Louis
HAL, hal-00157675 / Harvested from HAL
We continue here our study of the thermodynamic limit for various models of Quantum Chemistry. More specifically, we study the Hartree and the restricted Hartree model. For the restricted Hartree model, we prove the existence of the thermodynamic limit for the energy per unit volume. We also define a periodic problem associated to the Hartree model, and we prove that it is well-posed.
Publié le : 2002-07-05
Classification:  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
@article{hal-00157675,
     author = {Catto, Isabelle and Le Bris, Claude and Lions, Pierre-Louis},
     title = {On some periodic Hartree-type models for crystals},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00157675}
}
Catto, Isabelle; Le Bris, Claude; Lions, Pierre-Louis. On some periodic Hartree-type models for crystals. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00157675/